The video tutorial covers lesson 8.1 on solving problems involving scale drawings. It explains the concept of scale factors, which are numbers used to multiply the side lengths of a figure to create a proportional scale drawing. The tutorial provides visual examples using triangles and practical examples of scaling lines and figures. It also includes problem-solving exercises involving scale factors and proportions, and discusses real-world applications such as maps and drawings. The lesson concludes with a task for students to write sentences summarizing what they learned.

What is a scale drawing?

• A drawing that is always larger than the original

• A drawing that is always smaller than the original

• A drawing that is proportional to the original

• A drawing that is identical to the original

What is a scale factor?

• A number used to multiply the side lengths of a figure

• A number used to divide the side lengths of a figure

• A number used to subtract from the side lengths of a figure

• A number used to add to the side lengths of a figure

If a triangle with side lengths 1, 1, and 1 is scaled by a factor of 3, what are the new side lengths?

• 4, 4, 4

• 1, 1, 1

• 2, 2, 2

• 3, 3, 3

What happens to the side lengths of a figure when multiplied by a scale factor?

• They become proportional

• They become larger

• They remain the same

• They become smaller

In a 3:1 scale, if the original side length is 3, what is the new side length?

• 6

• 9

• 15

• 12

How do you calculate the new length of a line when scaled by a factor of 3?

• Multiply the original length by 3

• Subtract 3 from the original length

• Divide the original length by 3

• Add 3 to the original length

If a line is originally 3 units long and is scaled by a factor of 3, what is the new length?

• 6 units

• 12 units

• 9 units

• 15 units

What is the scale factor if a length changes from 2 inches to 5 inches?

• 2

• 3

• 2.5

• 1.5

How do you solve for a new side length using proportions?

• Add the scale factor to the original length

• Subtract the scale factor from the original length

• Multiply the original length by the scale factor

• Divide the original length by the scale factor

On a map, if 1 inch equals 5 miles, how far apart are two cities that are 8 inches apart on the map?

• 40 miles

• 50 miles

• 20 miles

• 30 miles